How do you write the equation $- 3 x - 6 y = - 24$ $-3x-6y =-24$ in slope-intercept form?

Question

5179 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-13T20:24:16

$y = - \frac{1}{2} x + 4$ $y = -1/2x + 4$

To transform this equation to slope-intercept form we must solve for $y$ $y$ while keeping the equation balanced:

$- 3 x + 3 x - 6 y = - 24 + 3 x$ $-3x + 3x - 6y = -24 + 3x$

$0 - 6 y = 3 x - 24$ $0 - 6y = 3x - 24$

$- 6 y = 3 x - 24$ $-6y = 3x - 24$

$\frac{- 6 y}{- 6} = \frac{3 x - 24}{- 6}$ $(-6y)/-6 = (3x - 24)/(-6)$

$(cancel(-6)y)/cancel(-6) = (3x)/(-6) - 24/(-6)$

$y = -1/2x + 4$

How do you write the equation -3x-6y =-24−3x−6y=−24-3x-6y =-24 in slope-intercept form?